What is the Least Common Multiple of 82456 and 82460?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 82456 and 82460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82456 and 82460, than apply into the LCM equation.

GCF(82456,82460) = 4
LCM(82456,82460) = ( 82456 × 82460) / 4
LCM(82456,82460) = 6799321760 / 4
LCM(82456,82460) = 1699830440

Least Common Multiple (LCM) of 82456 and 82460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82456 and 82460. First we will calculate the prime factors of 82456 and 82460.

Prime Factorization of 82456

Prime Factorization of 82460

Now multiplying the highest exponent prime factors to calculate the LCM of 82456 and 82460.

LCM(82456,82460) = 2³ × 11¹ × 937¹ × 5¹ × 7¹ × 19¹ × 31¹
LCM(82456,82460) = 1699830440